A uniform magnetic field B exists perpendicular to the plane of the Figure in a circular region of radius b with its centre at O. A cir- cular conductor of radius `a ( lt b)` and centre at O is made by join- ing two semicircular wires ABC and ADC. The two segments have same cross section but different resistances `R_(1)` and `R_(2)` respectively. The magnetic field in increased with time and there is an induced current in the conductor.
(a) Find the ratio of electric fields inside the conductors ABC and ADC.
(b) Explain why the electric field in two conductors is different despite the fact that the magnetic field is symmetrical.

Answer

(a) `(E_(1))/(E_(2))=(R_(1))/(R_(2))`